Final answer to the problem
$f\left(x\right)=x^{6}+x^2+1+2x^{4}-2x^3-2x$
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Apply the formula: $\left(a+b+c\right)^2$$=a^2+b^2+c^2+2ab+2ac+2bc$, where $a=x^3$, $b=x$ and $c=-1$
$f\left(x\right)=\left(x^3\right)^2+x^2+{\left(-1\right)}^2+2x^3x+2\cdot -1x^3+2\cdot -1x$
Learn how to solve expressions algébriques problems step by step online.
$f\left(x\right)=\left(x^3\right)^2+x^2+{\left(-1\right)}^2+2x^3x+2\cdot -1x^3+2\cdot -1x$
Learn how to solve expressions algébriques problems step by step online. f(x)=(x^3+x+-1)^2. Apply the formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, where a=x^3, b=x and c=-1. Apply the formula: ab=ab, where ab=2\cdot -1x^3, a=2 and b=-1. Apply the formula: ab=ab, where ab=2\cdot -1x, a=2 and b=-1. Apply the formula: a^b=a^b, where a=-1, b=2 and a^b={\left(-1\right)}^2.
Final answer to the problem
$f\left(x\right)=x^{6}+x^2+1+2x^{4}-2x^3-2x$
